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EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE's and FDEs. Topics include:

  *  Modeling of physical systems as infinite-dimensional processes
  *  Direct problems such as existence, regularity and well-posedness
  *  Stability, long-time behavior and associated dynamical attractors
  *  Indirect problems such as exact controllability, reachability theory and inverse problems
  *  Optimization - including shape optimization - optimal control, game theory and calculus of variations
  *  Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
  *  Applications of the theory to physics, chemistry, engineering, economics, medicine and biology
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Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces
Cung The Anh, Dang Thi Phuong Thanh and Nguyen Duong Toan
2021, 10(1) : 1-23 doi: 10.3934/eect.2020039 +[Abstract](868) +[HTML](391) +[PDF](483.18KB)
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
Wenbin Lv and Qingyuan Wang
2021, 10(1) : 25-36 doi: 10.3934/eect.2020040 +[Abstract](848) +[HTML](392) +[PDF](412.8KB)
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions
Elimhan N. Mahmudov
2021, 10(1) : 37-59 doi: 10.3934/eect.2020051 +[Abstract](636) +[HTML](285) +[PDF](447.79KB)
Boundary null-controllability of coupled parabolic systems with Robin conditions
Kuntal Bhandari and Franck Boyer
2021, 10(1) : 61-102 doi: 10.3934/eect.2020052 +[Abstract](895) +[HTML](305) +[PDF](632.1KB)
On a final value problem for a class of nonlinear hyperbolic equations with damping term
Nguyen Huu Can, Nguyen Huy Tuan, Donal O'Regan and Vo Van Au
2021, 10(1) : 103-127 doi: 10.3934/eect.2020053 +[Abstract](746) +[HTML](269) +[PDF](554.04KB)
Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation
Ludovick Gagnon and José M. Urquiza
2021, 10(1) : 129-153 doi: 10.3934/eect.2020054 +[Abstract](620) +[HTML](274) +[PDF](694.74KB)
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions
Roland Schnaubelt and Martin Spitz
2021, 10(1) : 155-198 doi: 10.3934/eect.2020061 +[Abstract](685) +[HTML](250) +[PDF](717.87KB)
Approximate controllability for Navier–Stokes equations in $ \rm3D $ cylinders under Lions boundary conditions by an explicit saturating set
Duy Phan
2021, 10(1) : 199-227 doi: 10.3934/eect.2020062 +[Abstract](554) +[HTML](253) +[PDF](2798.91KB)
Periodic solutions and multiharmonic expansions for the Westervelt equation
Barbara Kaltenbacher
2020doi: 10.3934/eect.2020063 +[Abstract](403) +[HTML](232) +[PDF](411.73KB)
Decay rate of global solutions to three dimensional generalized MHD system
Yanxia Niu, Yinxia Wang and Qingnian Zhang
2020doi: 10.3934/eect.2020064 +[Abstract](407) +[HTML](220) +[PDF](368.93KB)
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy
Ge Zu and Bin Guo
2020doi: 10.3934/eect.2020065 +[Abstract](485) +[HTML](230) +[PDF](357.61KB)
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay
V. Vijayakumar, R. Udhayakumar and K. Kavitha
2020doi: 10.3934/eect.2020066 +[Abstract](768) +[HTML](328) +[PDF](444.16KB)
Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting
Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang and Elvira Zappale
2020doi: 10.3934/eect.2020067 +[Abstract](501) +[HTML](248) +[PDF](485.62KB)
Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $
Bei Gong, Zhen-Hu Ning and Fengyan Yang
2020doi: 10.3934/eect.2020068 +[Abstract](551) +[HTML](257) +[PDF](359.6KB)
Internal feedback stabilization for parabolic systems coupled in zero or first order terms
Elena-Alexandra Melnig
2020doi: 10.3934/eect.2020069 +[Abstract](439) +[HTML](221) +[PDF](394.98KB)
Homogenization of a stochastic viscous transport equation
Ioana Ciotir, Nicolas Forcadel and Wilfredo Salazar
2020doi: 10.3934/eect.2020070 +[Abstract](420) +[HTML](224) +[PDF](422.67KB)
Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids
Xin Liu, Yongjin Lu and Xin-Guang Yang
2020doi: 10.3934/eect.2020071 +[Abstract](464) +[HTML](226) +[PDF](402.0KB)
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Birgit Jacob and Hafida Laasri
2020doi: 10.3934/eect.2020072 +[Abstract](514) +[HTML](236) +[PDF](471.98KB)
Approximation theorems for controllability problem governed by fractional differential equation
Rajesh Dhayal, Muslim Malik, Syed Abbas, Anil Kumar and Rathinasamy Sakthivel
2020doi: 10.3934/eect.2020073 +[Abstract](668) +[HTML](309) +[PDF](423.41KB)
Decay rates for the moore-gibson-thompson equation with memory
Hizia Bounadja and Belkacem Said Houari
2020doi: 10.3934/eect.2020074 +[Abstract](562) +[HTML](237) +[PDF](474.47KB)
A remark on the attainable set of the Schrödinger equation
Jonas Lampart
2020doi: 10.3934/eect.2020075 +[Abstract](414) +[HTML](225) +[PDF](301.95KB)
Approximate controllability of nonlocal problem for non-autonomous stochastic evolution equations
Pengyu Chen and Xuping Zhang
2020doi: 10.3934/eect.2020076 +[Abstract](565) +[HTML](306) +[PDF](413.99KB)
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $
Yong Zhou and Jia Wei He
2020doi: 10.3934/eect.2020077 +[Abstract](598) +[HTML](235) +[PDF](351.16KB)
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
Fan Wu
2020doi: 10.3934/eect.2020078 +[Abstract](486) +[HTML](220) +[PDF](296.86KB)
Funnel Control for boundary control systems
Marc Puche, Timo Reis and Felix L. Schwenninger
2020doi: 10.3934/eect.2020079 +[Abstract](436) +[HTML](218) +[PDF](1482.42KB)
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force
Brahim Allal, Abdelkarim Hajjaj, Lahcen Maniar and Jawad Salhi
2020doi: 10.3934/eect.2020080 +[Abstract](480) +[HTML](227) +[PDF](492.37KB)
On finite Morse index solutions of higher order fractional elliptic equations
Belgacem Rahal and Cherif Zaidi
2020doi: 10.3934/eect.2020081 +[Abstract](424) +[HTML](220) +[PDF](528.7KB)
Blow-up criteria for linearly damped nonlinear Schrödinger equations
Van Duong Dinh
2020doi: 10.3934/eect.2020082 +[Abstract](568) +[HTML](275) +[PDF](440.84KB)
Results on controllability of non-densely characterized neutral fractional delay differential system
Kasthurisamy Jothimani, Kalimuthu Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar and Chokkalingam Ravichandran
2020doi: 10.3934/eect.2020083 +[Abstract](544) +[HTML](265) +[PDF](385.72KB)
A nonlocal Weickert type PDE applied to multi-frame super-resolution
Fatimzehrae Ait Bella, Aissam Hadri, Abdelilah Hakim and Amine Laghrib
2020doi: 10.3934/eect.2020084 +[Abstract](366) +[HTML](254) +[PDF](5039.71KB)
A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen and Alessandro Palmieri
2020doi: 10.3934/eect.2020085 +[Abstract](389) +[HTML](186) +[PDF](337.42KB)
Solvability in abstract evolution equations with countable time delays in Banach spaces: Global Lipschitz perturbation
Tomomi Yokota and Kentarou Yoshii
2020doi: 10.3934/eect.2020086 +[Abstract](308) +[HTML](197) +[PDF](315.3KB)
Deterministic control of stochastic reaction-diffusion equations
Wilhelm Stannat and Lukas Wessels
2020doi: 10.3934/eect.2020087 +[Abstract](397) +[HTML](199) +[PDF](866.01KB)
Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity
Haixia Li
2020doi: 10.3934/eect.2020088 +[Abstract](335) +[HTML](197) +[PDF](284.35KB)
S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations
Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan
2020doi: 10.3934/eect.2020089 +[Abstract](374) +[HTML](188) +[PDF](508.46KB)
Approximate controllability of network systems
Yassine El Gantouh, Said Hadd and Abdelaziz Rhandi
2020doi: 10.3934/eect.2020091 +[Abstract](333) +[HTML](166) +[PDF](488.43KB)
Uniform stability in a vectorial full Von Kármán thermoelastic system with solenoidal dissipation and free boundary conditions
Catherine Lebiedzik
2020doi: 10.3934/eect.2020092 +[Abstract](228) +[HTML](128) +[PDF](474.03KB)
Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms
Andrew R. Becklin and Mohammad A. Rammaha
2020doi: 10.3934/eect.2020093 +[Abstract](277) +[HTML](145) +[PDF](645.62KB)
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
El Mustapha Ait Ben Hassi, Salah-Eddine Chorfi, Lahcen Maniar and Omar Oukdach
2020doi: 10.3934/eect.2020094 +[Abstract](525) +[HTML](155) +[PDF](504.68KB)
Stabilization of higher order Schrödinger equations on a finite interval: Part I
Ahmet Batal, Türker Özsarı and Kemal Cem Yılmaz
2020doi: 10.3934/eect.2020095 +[Abstract](313) +[HTML](139) +[PDF](2871.43KB)
Controllability of neutral stochastic functional integro-differential equations driven by fractional brownian motion with Hurst parameter lesser than $ 1/2 $
Brahim Boufoussi and Soufiane Mouchtabih
2020doi: 10.3934/eect.2020096 +[Abstract](248) +[HTML](120) +[PDF](364.69KB)
Optimal distributed control of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics
Bo You
2020doi: 10.3934/eect.2020097 +[Abstract](175) +[HTML](99) +[PDF](421.23KB)
Well-posedness of linear first order port-Hamiltonian Systems on multidimensional spatial domains
Nathanael Skrepek
2020doi: 10.3934/eect.2020098 +[Abstract](224) +[HTML](212) +[PDF](570.47KB)
Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay
Vu Manh Toi
2020doi: 10.3934/eect.2020099 +[Abstract](202) +[HTML](114) +[PDF](374.1KB)
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations
Priscila Santos Ramos, J. Vanterler da C. Sousa and E. Capelas de Oliveira
2020doi: 10.3934/eect.2020100 +[Abstract](208) +[HTML](105) +[PDF](458.14KB)
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity
Yuzhu Han and Qi Li
2020doi: 10.3934/eect.2020101 +[Abstract](203) +[HTML](114) +[PDF](357.33KB)
Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor
Xueli Song and Jianhua Wu
2020doi: 10.3934/eect.2020102 +[Abstract](181) +[HTML](96) +[PDF](535.15KB)
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces
Soniya Singh, Sumit Arora, Manil T. Mohan and Jaydev Dabas
2020doi: 10.3934/eect.2020103 +[Abstract](319) +[HTML](109) +[PDF](485.74KB)
Complete controllability for a class of fractional evolution equations with uncertainty
Nguyen Thi Kim Son, Nguyen Phuong Dong, Le Hoang Son, Alireza Khastan and Hoang Viet Long
2020doi: 10.3934/eect.2020104 +[Abstract](197) +[HTML](67) +[PDF](799.29KB)
Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory"
Manil T. Mohan
2020doi: 10.3934/eect.2020105 +[Abstract](152) +[HTML](60) +[PDF](659.1KB)
Some results on the behaviour of transfer functions at the right half plane
Tahir Aliyev Azeroğlu, Bülent Nafi Örnek and Timur Düzenli
2020doi: 10.3934/eect.2020106 +[Abstract](292) +[HTML](84) +[PDF](291.07KB)
Optimal control problems for a neutral integro-differential system with infinite delay
Hai Huang and Xianlong Fu
2020doi: 10.3934/eect.2020107 +[Abstract](240) +[HTML](68) +[PDF](354.45KB)
Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems
Gervy Marie Angeles and Gilbert Peralta
2020doi: 10.3934/eect.2020108 +[Abstract](216) +[HTML](66) +[PDF](390.72KB)
On time fractional pseudo-parabolic equations with nonlocal integral conditions
Nguyen Anh Tuan, Donal O'Regan, Dumitru Baleanu and Nguyen H. Tuan
2020doi: 10.3934/eect.2020109 +[Abstract](168) +[HTML](61) +[PDF](338.97KB)
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints
Stefan Doboszczak, Manil T. Mohan and Sivaguru S. Sritharan
2020doi: 10.3934/eect.2020110 +[Abstract](326) +[HTML](85) +[PDF](392.3KB)
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives
Biao Zeng
2021doi: 10.3934/eect.2021001 +[Abstract](52) +[HTML](20) +[PDF](337.12KB)
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations
Do Lan
2021doi: 10.3934/eect.2021002 +[Abstract](73) +[HTML](28) +[PDF](325.81KB)
A canonical model of the one-dimensional dynamical Dirac system with boundary control
Mikhail I. Belishev and Sergey A. Simonov
2021doi: 10.3934/eect.2021003 +[Abstract](48) +[HTML](25) +[PDF](388.25KB)
Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains
Mokhtari Yacine
2021doi: 10.3934/eect.2021004 +[Abstract](69) +[HTML](25) +[PDF](540.72KB)
An inverse problem for the pseudo-parabolic equation with p-Laplacian
Stanislav Nikolaevich Antontsev, Serik Ersultanovich Aitzhanov and Guzel Rashitkhuzhakyzy Ashurova
2021doi: 10.3934/eect.2021005 +[Abstract](70) +[HTML](24) +[PDF](414.16KB)
$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations
Michal Fečkan, Kui Liu and JinRong Wang
2021doi: 10.3934/eect.2021006 +[Abstract](55) +[HTML](22) +[PDF](398.08KB)
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling
Hedy Attouch, Aïcha Balhag, Zaki Chbani and Hassan Riahi
2021doi: 10.3934/eect.2021010 +[Abstract](44) +[HTML](16) +[PDF](1134.16KB)
Controllability for fractional evolution inclusions without compactness
Yong Zhou, V. Vijayakumar and R. Murugesu
2015, 4(4) : 507-524 doi: 10.3934/eect.2015.4.507 +[Abstract](4259) +[PDF](424.8KB) Cited By(79)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
Abderrahim Azouani and Edriss S. Titi
2014, 3(4) : 579-594 doi: 10.3934/eect.2014.3.579 +[Abstract](3409) +[PDF](418.2KB) Cited By(29)
On the Cauchy problem for the Schrödinger-Hartree equation
Binhua Feng and Xiangxia Yuan
2015, 4(4) : 431-445 doi: 10.3934/eect.2015.4.431 +[Abstract](3274) +[PDF](441.7KB) Cited By(23)
Hyperbolic Navier-Stokes equations I: Local well-posedness
Reinhard Racke and Jürgen Saal
2012, 1(1) : 195-215 doi: 10.3934/eect.2012.1.195 +[Abstract](3664) +[PDF](426.3KB) Cited By(22)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2) : 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](3404) +[PDF](610.3KB) Cited By(20)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](4619) +[PDF](596.6KB) Cited By(19)
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
Abdelaziz Soufyane and Belkacem Said-Houari
2014, 3(4) : 713-738 doi: 10.3934/eect.2014.3.713 +[Abstract](3421) +[PDF](498.1KB) Cited By(19)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](4334) +[PDF](724.1KB) Cited By(19)
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
Björn Augner and Birgit Jacob
2014, 3(2) : 207-229 doi: 10.3934/eect.2014.3.207 +[Abstract](2720) +[PDF](458.9KB) Cited By(17)
On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities
Jan Prüss, Yoshihiro Shibata, Senjo Shimizu and Gieri Simonett
2012, 1(1) : 171-194 doi: 10.3934/eect.2012.1.171 +[Abstract](3555) +[PDF](459.7KB) Cited By(17)
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise
Kumarasamy Sakthivel and Sivaguru S. Sritharan
2012, 1(2) : 355-392 doi: 10.3934/eect.2012.1.355 +[Abstract](3628) +[PDF](583.6KB) PDF Downloads(419)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](4334) +[PDF](724.1KB) PDF Downloads(366)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2020, 9(3) : 773-793 doi: 10.3934/eect.2020033 +[Abstract](1485) +[HTML](490) +[PDF](559.21KB) PDF Downloads(361)
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](2014) +[HTML](625) +[PDF](485.25KB) PDF Downloads(339)
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
Jun-Ren Luo and Ti-Jun Xiao
2020, 9(2) : 359-373 doi: 10.3934/eect.2020009 +[Abstract](1416) +[HTML](430) +[PDF](299.02KB) PDF Downloads(289)
The controllability of a thermoelastic plate problem revisited
Moncef Aouadi and Taoufik Moulahi
2018, 7(1) : 1-31 doi: 10.3934/eect.2018001 +[Abstract](4971) +[HTML](518) +[PDF](612.96KB) PDF Downloads(284)
On a backward problem for two-dimensional time fractional wave equation with discrete random data
Nguyen Huy Tuan, Tran Ngoc Thach and Yong Zhou
2020, 9(2) : 561-579 doi: 10.3934/eect.2020024 +[Abstract](1165) +[HTML](294) +[PDF](420.19KB) PDF Downloads(269)
Stability problem for the age-dependent predator-prey model
Antoni Leon Dawidowicz and Anna Poskrobko
2018, 7(1) : 79-93 doi: 10.3934/eect.2018005 +[Abstract](5638) +[HTML](496) +[PDF](421.72KB) PDF Downloads(245)
Energy decay for the damped wave equation on an unbounded network
Rachid Assel and Mohamed Ghazel
2018, 7(3) : 335-351 doi: 10.3934/eect.2018017 +[Abstract](4780) +[HTML](388) +[PDF](431.8KB) PDF Downloads(242)
Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method
Zhousheng Ruan, Sen Zhang and Sican Xiong
2018, 7(4) : 669-682 doi: 10.3934/eect.2018032 +[Abstract](4423) +[HTML](407) +[PDF](541.78KB) PDF Downloads(239)

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